A centrifuge has an angular velocity of 3,000 rpm, what is the acceleration (in unit of the earth gravity) at a point with a radius of 10 cm

Explanation:

Let suppose that centrifuge is rotating at constant angular speed, which means that resultant acceleration is equal to radial acceleration at given radius, whose formula is:

Where:

- Angular speed, measured in radians per second.

- Radius of rotation, measured in meters.

The angular speed is first determined:

Where is the angular speed, measured in revolutions per minute.

If , the angular speed measured in radians per second is:

Now, if and , the resultant acceleration is then:

If gravitational acceleration is equal to 9.807 meters per square second, then the radial acceleration is equivalent to 1006.382 times the gravitational acceleration. That is:

this is poiselle's equation from fluid mechanic in physics. mech eng